On the Brill-Noether Problem for Vector Bundles

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On an arbitrary compact Riemann surface, necessary and sufficient conditions are found for the existence of semistable vector bundles with slope between zero and one and a prescribed number of linearly independent holomorphic sections. Existence is achieved by minimizing the Yang-Mills-Higgs functional.
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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/150076

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9510005
 http://arxiv.org/abs/alg-geom/9510005

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arXiv